You can represent data in a variety of ways.
The first matrix represents inventory (how many there are) of four types of objects. The second matrix is a price matrix. The third matrix is the product of the first two matrices. Give an example of real inventory and real prices for which the product matrix makes sense. Explain the meaning of the product.
You can represent many real-world mathematical problems algebraically. These representations can lead to algebraic solutions.
Suppose the matrix equation
Translations, reflections, rotations, and dilations can help you understand relationships within objects and between objects.
Each entry in a multiplication table, as shown in the 2-by-2 table below, is the product of the factor shown at the left and the factor shown at the top.
|
c | d |
a | ac | ad |
b | bc | bd |
Let
be the sets of rotations and reflections, respectively, as described in Lesson 12-5. Build each 4-by-4 multiplication table.
|
ROT |
ROT |
|
REF |
REF |
|
ROT |
REF |
|
REF |
ROT |